Atkin-Lehner |
5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
96775p |
Isogeny class |
Conductor |
96775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
398491869125 = 53 · 79 · 79 |
Discriminant |
Eigenvalues |
-2 -2 5- 7- 3 -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-59698,5594264] |
[a1,a2,a3,a4,a6] |
Generators |
[149:-172:1] |
Generators of the group modulo torsion |
j |
1599970881536/27097 |
j-invariant |
L |
2.0546607189993 |
L(r)(E,1)/r! |
Ω |
0.86982629959834 |
Real period |
R |
0.29526882849411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998987337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96775n1 13825e1 |
Quadratic twists by: 5 -7 |